{"id":1606,"date":"2021-12-02T19:38:44","date_gmt":"2021-12-03T00:38:44","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-3-3\/"},"modified":"2022-11-02T10:36:54","modified_gmt":"2022-11-02T14:36:54","slug":"answer-key-3-3","status":"publish","type":"back-matter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-3-3\/","title":{"raw":"Answer Key 3.3","rendered":"Answer Key 3.3"},"content":{"raw":"<ol>\n \t<li>[latex]m=-\\dfrac{3}{5}[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{5}{4}[\/latex]<\/li>\n \t<li>[latex]m=-4[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{2}{7}[\/latex]<\/li>\n \t<li>[latex]m=-\\dfrac{1}{3}[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{3}{5}[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{15-10}{-2-2}\\Rightarrow \\dfrac{-5}{4}[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{-12-2}{-6-1}\\Rightarrow \\dfrac{-14}{-7}\\Rightarrow 2[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{0-10}{0--5}\\Rightarrow \\dfrac{-10}{5}\\Rightarrow -2[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{8--2}{7-2}\\Rightarrow \\dfrac{10}{5}\\Rightarrow 2[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{-10-6}{-8-4}\\Rightarrow \\dfrac{-16}{-12}\\Rightarrow \\dfrac{4}{3}[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{-6-6}{9--3}\\Rightarrow \\dfrac{-12}{12}\\Rightarrow -1[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{-4--4}{10--2}\\Rightarrow \\dfrac{0}{12}\\Rightarrow 0[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{0-5}{2-3}\\Rightarrow \\dfrac{-5}{-1}\\Rightarrow 5[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{8-4}{-6--4}\\Rightarrow \\dfrac{4}{-2}\\Rightarrow -2[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{-7--6}{-7-9}\\Rightarrow \\dfrac{-1}{-16}\\Rightarrow \\dfrac{1}{16}[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{4--9}{6-2}\\Rightarrow \\dfrac{13}{4}[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{0-2}{5--6}\\Rightarrow \\dfrac{-2}{11}[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{0-0}{-5--5}\\Rightarrow \\dfrac{0}{0} \\therefore \\text{Undefined}[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{-13-11}{-3-8}\\Rightarrow \\dfrac{-24}{-11} \\Rightarrow \\dfrac{24}{11}[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{-7-9}{1--7}\\Rightarrow \\dfrac{-16}{8} \\Rightarrow -2[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{7--2}{1-1}\\Rightarrow \\dfrac{9}{0} \\therefore \\text{Undefined}[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{-9--4}{-8-7}\\Rightarrow \\dfrac{-5}{-15} \\Rightarrow \\dfrac{1}{3}[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{-3--5}{4--8}\\Rightarrow \\dfrac{2}{12} \\Rightarrow \\dfrac{1}{6}[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{4-7}{-8--5}\\Rightarrow \\dfrac{-3}{-3} \\Rightarrow 1[\/latex]<\/li>\n \t<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{1-5}{5-9}\\Rightarrow \\dfrac{-4}{-4} \\Rightarrow 1[\/latex]<\/li>\n<\/ol>","rendered":"<ol>\n<li>[latex]m=-\\dfrac{3}{5}[\/latex]<\/li>\n<li>[latex]m=\\dfrac{5}{4}[\/latex]<\/li>\n<li>[latex]m=-4[\/latex]<\/li>\n<li>[latex]m=\\dfrac{2}{7}[\/latex]<\/li>\n<li>[latex]m=-\\dfrac{1}{3}[\/latex]<\/li>\n<li>[latex]m=\\dfrac{3}{5}[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{15-10}{-2-2}\\Rightarrow \\dfrac{-5}{4}[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{-12-2}{-6-1}\\Rightarrow \\dfrac{-14}{-7}\\Rightarrow 2[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{0-10}{0--5}\\Rightarrow \\dfrac{-10}{5}\\Rightarrow -2[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{8--2}{7-2}\\Rightarrow \\dfrac{10}{5}\\Rightarrow 2[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{-10-6}{-8-4}\\Rightarrow \\dfrac{-16}{-12}\\Rightarrow \\dfrac{4}{3}[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{-6-6}{9--3}\\Rightarrow \\dfrac{-12}{12}\\Rightarrow -1[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{-4--4}{10--2}\\Rightarrow \\dfrac{0}{12}\\Rightarrow 0[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{0-5}{2-3}\\Rightarrow \\dfrac{-5}{-1}\\Rightarrow 5[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{8-4}{-6--4}\\Rightarrow \\dfrac{4}{-2}\\Rightarrow -2[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{-7--6}{-7-9}\\Rightarrow \\dfrac{-1}{-16}\\Rightarrow \\dfrac{1}{16}[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{4--9}{6-2}\\Rightarrow \\dfrac{13}{4}[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{0-2}{5--6}\\Rightarrow \\dfrac{-2}{11}[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{0-0}{-5--5}\\Rightarrow \\dfrac{0}{0} \\therefore \\text{Undefined}[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{-13-11}{-3-8}\\Rightarrow \\dfrac{-24}{-11} \\Rightarrow \\dfrac{24}{11}[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{-7-9}{1--7}\\Rightarrow \\dfrac{-16}{8} \\Rightarrow -2[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{7--2}{1-1}\\Rightarrow \\dfrac{9}{0} \\therefore \\text{Undefined}[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{-9--4}{-8-7}\\Rightarrow \\dfrac{-5}{-15} \\Rightarrow \\dfrac{1}{3}[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{-3--5}{4--8}\\Rightarrow \\dfrac{2}{12} \\Rightarrow \\dfrac{1}{6}[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{4-7}{-8--5}\\Rightarrow \\dfrac{-3}{-3} \\Rightarrow 1[\/latex]<\/li>\n<li>[latex]m=\\dfrac{\\Delta y}{\\Delta x}\\Rightarrow \\dfrac{1-5}{5-9}\\Rightarrow \\dfrac{-4}{-4} \\Rightarrow 1[\/latex]<\/li>\n<\/ol>\n","protected":false},"author":90,"menu_order":25,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":"cc-by-nc-sa"},"back-matter-type":[],"contributor":[],"license":[56],"class_list":["post-1606","back-matter","type-back-matter","status-publish","hentry","license-cc-by-nc-sa"],"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1606","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":1,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1606\/revisions"}],"predecessor-version":[{"id":1607,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1606\/revisions\/1607"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1606\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1606"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter-type?post=1606"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1606"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1606"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}